Approximation theorems for operator exponential and cosine functions

被引：0
|
作者：
Maiko N.V. [1 ]
Ryabichev V.L. [1 ]
机构：
[1] Taras Shevchenko National, University of Kyiv, Kyiv
来源：
Cybernetics and Systems Analysis | 2009年 / 45卷 / 5期
关键词：
Abstract Cauchy problem; Cayley transform; Inverse approximation theorem; Rate of convergence; Unimprovable estimate;
D O I：
10.1007/s10559-009-9145-x
中图分类号：
学科分类号：
摘要：
An integral approximation error is estimated for an operator exponential function, and the unimprovability of the estimate with respect to order is investigated. The smoothness of the initial vector in terms of the order of accuracy of the Cayley transform method is substantiated for approximations of operator exponential and cosine functions. © 2009 Springer Science+Business Media, Inc.
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页码：800 / 807
页数：7
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